書名：Discrete Mathematics with Applications 5/e 作者：Epp 出版社：Cengage 出版日期：2020/00/00 ISBN：9780357114087 內容簡介 ●Over 500 worked examples in problem-solution format guide students in building a conceptual understanding of how to solve problems. Proof solutions are intuitively developed in two steps, a discussion on how to approach the proof and a summary of the solution, allowing students the choice of faster or more deliberate instruction depending on how well they understand the problem. ●Flexible organization, allowing instructors the ability to mix core and optional topics easily to suit a wide variety of discrete math course syllabi and topic focus. ●Features, definitions, theorems, and exercise types are clearly marked and easily navigable, making the book an excellent reference that students will want to keep and continually refer back to in their later courses. ●A large number of computer science applications are included, both to motivate students and to ease their transition into more advanced computer science courses. ●Epp addresses inherent difficulties in understanding logic and language with very concrete and easy-to-conceptualize examples, an approach that helps students with a variety o better comprehend basic mathematical reasoning, and enables them to construct sound mathematical arguments. ●More than 2500 exercises provide ample practice for students, with numerous applied problems covering an impressive array of applications. 目錄 1.SPEAKING MATHEMATICALLY. 2.THE LOGIC OF COMPOUND STATEMENTS. 3.THE LOGIC OF QUANTIFIED STATEMENTS. 4.ELEMENTARY NUMBER THEORY AND METHODS OF PROOF. 5.SEQUENCES, MATHEMATICAL INDUCTION, AND RECURSION. 6.SET THEORY. 7.PROPERTIES OF FUNCTIONS. 8.PROPERTIES OF RELATIONS. 9.COUNTING AND PROBABILITY. 10.THEORY OF GRAPHS AND TREES. 11.ANALYSIS ALGORITHM EFFICIENCY. 12.REGULAR EXPRESSIONS AND FINITE-STATE AUTOMATA. Appendix A Properties of the Real Numbers Appendix B Solutions and Hints to Selected Exercises